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Unformatted text preview: 14:440:222 Dynamics (Lecture Note #8) Instructor: Prof. Peng Song Rutgers University Todays Lecture Kinetics of particle systems in polar and cylindrical coordinates Applications Equations of Motion in cylindrical coordinates (using r, , and z coordinates) may be expressed in scalar form as: F r = ma r = m (r r 2 ) F = ma = m (r 2 r ) F z = ma z = m z . . . .. .. .. Cylindrical Coordinates Note that a fixed coordinate system is used, not a bodycentered system as used in the n t approach. If the particle is constrained to move only in the r plane (i.e., the z coordinate is constant), then only the first two equations are used (as shown below). The coordinate system in such a case becomes a polar coordinate system. In this case, the path is only a function of . F r = ma r = m(r r 2 ) F = ma = m(r 2r ) ....
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This document was uploaded on 10/31/2011 for the course ENG MECH 232 at Rutgers.
 Fall '11
 R.C.Hibbeler

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